JEE MATHEMATICS MCQ: ELLIPSE

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The locus of the mid-points of the chords of the ellipse

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1

whose poles are on the auxiliary circle on the tangents at the extremities of which intersect on the auxiliary circle, is

View answer and explanation

Correct option: D

x^2+y^2=a^2\left(\frac{x^2}{a^2}+\frac{y^2}{b^2}\right)^2

Option D (

x^2+y^2=a^2\left(\frac{x^2}{a^2}+\frac{y^2}{b^2}\right)^2

) is correct because it represents the locus of mid-points of chords whose poles lie on the auxiliary circle.

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